Online GCD Calculator is useful to find the GCD of 400, 287, 494, 980 quickly. Get the easiest ways to solve the greatest common divisor of 400, 287, 494, 980 i.e 1 in different methods as follows.
Given Input numbers are 400, 287, 494, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 287 :
The positive integer divisors of 287 that completely divides 287 are.
1, 7, 41, 287
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
GCD of numbers is the greatest common divisor
So, the GCD (400, 287, 494, 980) = 1.
Given numbers are 400, 287, 494, 980
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 287 are 7 x 41
Prime factors of 494 are 2 x 13 x 19
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 287, 494, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 287) = 114800
GCD(400, 287) = ( 400 x 287 ) / 114800
= 400 / 287
= 400
Step2:
LCM(1, 494) = 494
GCD(1, 494) = ( 1 x 494 ) / 494
= 1 / 494
= 1
Step3:
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
= 1 / 980
= 1
So, Greatest Common Divisor of 400, 287, 494, 980 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 287, 494, 980
The greatest common divisor of numbers 400, 287, 494, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 287, 494, 980 is 1.
1. What is the GCD of 400, 287, 494, 980?
GCD of given numbers 400, 287, 494, 980 is 1
2. How to calculate the greatest common divisor of 400, 287, 494, 980?
We can find the highest common divisor of 400, 287, 494, 980 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 400, 287, 494, 980 i.e 1.
3. How can I use the GCD of 400, 287, 494, 980Calculator?
Out the numbers 400, 287, 494, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.